Let E/F be a CM extension of number fields, and L be a positive definite binary hermitian lattice over the ring of integers of E. An element in F is called an exception of L if it is represented by every localization of L but not by L itself. We show that if E/F and a positive integer k are given, t
โฆ LIBER โฆ
The minima of positive definite Hermitian binary quadratic forms
โ Scribed by A. Oppenheim
- Publisher
- Springer-Verlag
- Year
- 1934
- Tongue
- French
- Weight
- 359 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0025-5874
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Let L be a positive definite binary integral hermitian lattice over an imaginary quadratic field, and let E(L) denote the number of integers (possibly infinite) which are represented by all localizations of L but not by L itself. It is shown that E(L) tends to infinity as the volume of L tends to in